The Cost of Producing $t$ Units Is $C = 3 t ^ { 2 } + 9 t$

question 125

Multiple Choice

The cost of producing $t$ units is $C = 3 t ^ { 2 } + 9 t$ , and the revenue generated from sales is $R = 4 t ^ { 2 } + t$ . Determine the number of units to be sold in order to generate a profit.

• A) \(t > 0\)
• B) \(t > 8\)
• C) \(t > 10\)
• D) \(t > 9\)

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Definitions:

Quantity Change

An alteration in the amount of goods or services supplied or demanded in a market.

Average Fixed

The fixed costs of production divided by the quantity of output produced, illustrating how those costs are spread over output.

Average Fixed Cost

The fixed costs of production divided by the quantity of output produced.

Total Output

The total quantity of goods or services produced by an individual, firm, industry, or economy.